If n is as natural number, using mathematical induction show that: ` n^7-n` is a multiple of 7.

Using mathematical induction , show that n(n+1)(n+5) is a multiple of 3 .

Using the principle of mathematical induction prove that 41^n-14^n is a multiple of 27 .

Using mathematical induction prove that n^(3)-7n+3 is divisible by 3, AA n in N

If A is a square matrix, using mathematical induction prove that (A^T)^n=(A^n)^T for all n in N .

If A is a square matrix, using mathematical induction prove that (A^T)^n=(A^n)^T for all n in N .

If A is a square matrix, using mathematical induction prove that (A^T)^n=(A^n)^T for all n in Ndot

Prove the following by using the principle of mathematical induction for all n in N : 41^n-14^n is a multiple of 27.

Using the principle of mathematical induction prove that 41^n-14^n is a multiple of 27 & 7^n-3^n is divisible by 4 .

Using mathematical induction prove that : d/(dx)(x^n)=n x^(n-1) for all n in NN .

Using the principle of mathematical induction to show that 41^n-14^n is divisible by 27